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Asymptotic behavior of solutions of impulsive delay differential equations. (English) Zbl 0873.34063
Sufficient conditions for the asymptotic stability of the trivial solution of a linear impulsive delay differential system are given. The result is obtained by the investigation of the asymptotic behaviour of the oscillatory and non-oscillatory solutions.
MSC:
34K20Stability theory of functional-differential equations
34A37Differential equations with impulses